David R. Bickel
University of North Carolina at Greensboro
Faculty Member, Statistics
United States
Find me at
My Publications
Fractal-Gaussian-rate model of molecular evolution
Journal of Molecular Evolution
April 2000
This paper explores the impact of variable rates of nucleotide substitution on two statistical methods used in studies of molecular evolution: (1) a test of the molecular clock hypothesis and (2) c...
Fractional-difference model of molecular evolution
Physics Letters A
May 1999
This paper presents a model of molecular evolution that is episodic enough to agree with the theory of punctuated equilibrium. While that theory was motivated by the fossil record, the model of mol...
Fractal renewal model of molecular evolution
Journal of Molecular Evolution
November 1998
First, a few definitions. An evolutionary substitution of one nucleotide for another in a coding sequence is called "synonymous" if it does not cause an amino acid substitution according to the gen...
Multiplicative model of molecular evolution
Fractals
September 1998
The rate of DNA evolution considered is the number of nucleotide substitutions per unit of time. Estimates of the substitution rate based on mammalian DNA data agree with the lognormal distribution...
Fractal-rate Poisson model of molecular evolution
Molecular Biology and Evolution
August 1998
To agree with protein and DNA sequence data, many models that modify the molecular clock hypothesis have been proposed. Most of those models do not predict the observed pattern of correlation betwe...
Lévy-stable model of molecular evolution
Physica A Statistical Mechanics and its Applications
January 1998
This paper hypothesizes an evolutionary mechanism that is more interconnected than the usual mechanisms of natural selection and genetic drift. The possibility of evolution by a simple deterministi...
Quantifying the intermittency of point processes
Physica A Statistical Mechanics and its Applications
April 1999
A simple scaling exponent of a fractal point process is interpreted in terms of a parameter that quantifies how episodic events are. A method of estimating the intermittency parameter is defined an...
A Bayesian interpretation of possibility theory applied to the replication crisis & mod...
International Journal of Approximate Reasoning
March 2022
Effect size estimation based on calibrated p-values
Communication in Statistics- Theory and Methods
May 2021
Model averages sharpened into Occam’s razors: Deep learning enhanced by Rényi entropy
Communication in Statistics- Theory and Methods
March 2021
Moderating probability distributions for unrepresented uncertainty: Application to sent...
Communication in Statistics- Theory and Methods
January 2021
An evidential argument for the law of likelihood generalized to composite hypotheses
Statistical Methods & Applications
January 2021
Occam's razor for prior distributions with an application to null hypothesis significan...
Bayesian Analysis
December 2020
Probabilities of sign errors as calibrated p-values
The American Statistician
October 2020
Propagating unquantified uncertainty with an application to null hypothesis significanc...
Statistics & Probability Letters
September 2020
Frequentist and Bayesian inference unified and generalized by evidential support distri...
Communication in Statistics- Theory and Methods
July 2020
Testing prediction algorithms as null hypotheses: Application to assessing the performa...
Stat
January 2020
A Bayesian defense of null hypothesis significance testing
The American Statistician
December 2019
Model fusion and multiple testing in the likelihood paradigm: shrinkage and evidence su...
Statistics
August 2019
Confidence intervals, significance values, maximum likelihood estimates, etc. sharpened...
Communication in Statistics- Theory and Methods
July 2019
What's wrong with false discovery rates and what to do about it
Communications in Statistics - Simulation and Computation
June 2019
The c-value: A frequentist semantics for possibility theory
Bernoulli
February 2019
Occam's razor for the replication crisis
Stat
January 2019
New methods of reference class selection applied to genomics data analysis
IEEE/ACM Transactions on Computational Biology and Bioinformatics
January 2019
Estimating the local false discovery rate via a bootstrap solution to the reference cla...
PLoS ONE
November 2018
How to revise a prior distribution in light of a new insight
Statistics
January 2018
Averaging Bayesian or frequentist models via a confidence or fiducial distribution
Communication in Statistics- Theory and Methods
July 2017
What to do after checking the prior and the rest of the Bayesian model
International Journal of Approximate Reasoning
November 2015
How to combine frequentist data analysis with Bayesian data analysis
Statistical Methods & Applications
February 2015
Corrigendum to: Simple estimators of false discovery rates given as few as one or two p...
Statistical Applications in Genetics and Molecular Biology
January 2015
How to estimate the local false discovery rates of one or more hypothesis tests
International Statistical Review
August 2014
Coherent fiducial distributions
Journal of Statistical Planning and Inference
February 2014
Errata
The FASEB Journal
January 2014
Criteria for a measure of evidence and two optimal measures of evidence
International Statistical Review
July 2013
Muscle uncoupling protein 3 overexpression mimics endurance training and reduces circul...
The FASEB Journal
June 2013
Pseudo-Likelihood, Explanatory Power, and Bayes's Theorem [Comment on “A Likelihood Par...
Journal of Statistical Theory and Practice
January 2013
Empirical Bayes estimation of posterior probabilities of enrichment: A comparative stud...
BMC Bioinformatics
January 2013
Parametric Estimation of the Local False Discovery Rate for Identifying Genetic Associa...
IEEE/ACM Transactions on Computational Biology and Bioinformatics
January 2013
Simple estimators of false discovery rates given as few as one or two p-values without ...
Statistical Applications in Genetics and Molecular Biology
January 2013
Game-theoretic probability combination with applications to resolving conflicts between...
International Journal of Approximate Reasoning
September 2012
Confidence distributions and coherence
Sankhya A
August 2012
Bayesian-like data analysis based on confidence distributions instead of prior distribu...
Communication in Statistics- Theory and Methods
April 2012
Empirical Bayes Interval Estimates that are Conditionally Equal to Unadjusted Confidenc...
Statistical Applications in Genetics and Molecular Biology
January 2012
Estimators of the local false discovery rate designed for small numbers of tests
Statistical Applications in Genetics and Molecular Biology
January 2012
Controlling the degree of caution in statistical inference with the Bayesian and freque...
Electronic Journal of Statistics
January 2012
A predictive approach to measuring the strength of statistical evidence for single and ...
Canadian Journal of Statistics
July 2011
Correcting p values for the bias due to using a statistical test when its assumptions a...
Biometrics
September 2010
Long-Chain Fatty Acid Combustion Rate Is Associated with Unique Metabolite Profiles in ...
PLoS ONE
March 2010
Shrinkage Estimation of Effect Sizes as an Alternative to Hypothesis Testing Followed b...
Statistical Applications in Genetics and Molecular Biology
January 2010
Validation of differential gene expression algorithms: Application comparing fold-chang...
BMC Bioinformatics
January 2010
Gene network reconstruction from transcriptional dynamics under kinetic model uncertain...
Bioinformatics
February 2009
Genome-wide allele-specific expression analysis using Massively Parallel Signature Sequ...
Plant Molecular Biology
January 2008
Correcting the Estimated Level of Differential Expression for Gene Selection Bias: Appl...
Statistical Applications in Genetics and Molecular Biology
January 2008
Cluster and Classification Techniques for the Biosciences. By Alan H Fielding. Cambri...
The Quarterly Review of Biology
December 2007
On a fast, robust estimator of the mode: Comparisons to other robust estimators with ap...
Computational Statistics & Data Analysis
August 2006
Probabilities of spurious connections in gene networks: application to expression time ...
Bioinformatics
November 2004
Comparison of methods of temperature measurement in swine
Laboratory Animals
July 2004
Degrees of differential gene expression: detecting biologically significant expression ...
Bioinformatics
January 2004
Robust and efficient estimation of the mode of continuous data: the mode as a viable me...
Journal of Statistical Computation and Simulation
December 2003
Smoothing Before Estimating Uncertainty, Scaling and Intermittency: Application to Shor...
Fractals
September 2003
Robust cluster analysis of microarray gene expression data with the number of clusters ...
Bioinformatics
May 2003
Robust estimators of the mode and skewness of continuous data
Computational Statistics & Data Analysis
April 2002
Generalized entropy and multifractality of time-series: relationship between order and ...
Chaos Solitons & Fractals
March 2002
Asymptotic distribution of time-series intermittency estimates: applications to economi...
Computational Statistics & Data Analysis
October 2001
REST QUANTIFIED BY A FRACTAL DIMENSION OF MOVEMENT EVENTS: A BIOMEDICAL APPLICATION OF ...
Fractals
March 2000
Simple estimation of intermittency in multifractal stochastic processes: biomedical app...
Physics Letters A
November 1999
Heart rate variability of preterm neonates quantified by energy entropy
Nursing and Health Sciences
June 1999
